Details

sample71.0ms

Algorithm

intervals

Results

29.0ms	791×	body	80	nan
11.0ms	256×	body	80	valid

simplify531.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	112	11
4	207	11
5	273	11
6	383	11
7	546	11
8	589	11
9	591	11
done	591	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (log y)) y)
0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (- (* x (log y)) y) z)
0.2b	(* x (log y))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate--l+`
27×	`log-prod`
25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-log-exp`
15×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-+l+`
9×	`pow1`
7×	`diff-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`associate-r` `distribute-lft-out`
3×	`associate-+r+` `associate-l` `sum-log` `log-pow` `distribute-lft-out--`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

4.0ms	(- (* x (log y)) y)
67.0ms	(+ (- (- (* x (log y)) y) z) (log t))
20.0ms	(- (- (* x (log y)) y) z)
4.0ms	(* x (log y))

series171.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* x (log y)) y)
42.0ms	(+ (- (- (* x (log y)) y) z) (log t))
31.0ms	(- (- (* x (log y)) y) z)
41.0ms	(* x (log y))

simplify1.4s

Counts

110 → 110

Iterations

Useful iterations: 3 (594.0ms)

Iter	Nodes	Cost
0	167	1160
1	361	1097
2	918	1064
3	3312	1016
done	5001	1016

prune270.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt t))
0.0b	(log (sqrt t))
0.0b	(- (- (* x (log y)) y) z)
0.2b	(* x (log y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt` `associate--l+`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log`
7×	`log-pow`
6×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `add-cbrt-cube`
4×	`associate-r`
3×	`diff-log` `associate-l`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `rem-log-exp`
1×	`associate--l-` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

1.0ms	(log (sqrt t))
1.0ms	(log (sqrt t))
19.0ms	(- (- (* x (log y)) y) z)
4.0ms	(* x (log y))

series197.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(log (sqrt t))
61.0ms	(log (sqrt t))
35.0ms	(- (- (* x (log y)) y) z)
38.0ms	(* x (log y))

simplify589.0ms

Counts

95 → 95

Iterations

Useful iterations: 3 (217.0ms)

Iter	Nodes	Cost
0	153	800
1	285	763
2	621	704
3	1489	683
done	5001	683

prune281.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* x (log (sqrt y))) y) z)
0.0b	(+ (* x (log (sqrt y))) (+ (- (- (* x (log (sqrt y))) y) z) (log t)))
0.2b	(* x (log (sqrt y)))
0.2b	(* x (log (sqrt y)))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
30×	`add-sqr-sqrt`
26×	`*-un-lft-identity` `associate--l+`
24×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in` `sqrt-prod`
20×	`add-log-exp`
12×	`pow1` `associate-+l+` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
7×	`sum-log`
6×	`diff-log` `associate-l` `log-pow`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate--l-` `associate-+l-` `associate-+r-` `associate-+r+` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 124

Calls

4 calls:

24.0ms	(- (- (* x (log (sqrt y))) y) z)
164.0ms	(+ (* x (log (sqrt y))) (+ (- (- (* x (log (sqrt y))) y) z) (log t)))
5.0ms	(* x (log (sqrt y)))
5.0ms	(* x (log (sqrt y)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (- (* x (log (sqrt y))) y) z)
80.0ms	(+ (* x (log (sqrt y))) (+ (- (- (* x (log (sqrt y))) y) z) (log t)))
88.0ms	(* x (log (sqrt y)))
89.0ms	(* x (log (sqrt y)))

simplify1.4s

Counts

136 → 136

Iterations

Useful iterations: 3 (367.0ms)

Iter	Nodes	Cost
0	182	1799
1	413	1707
2	1064	1551
3	3860	1492
done	5000	1492

prune382.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt y))
0.2b	(* (log (sqrt (sqrt y))) x)
0.3b	(* x (+ (log (sqrt (sqrt y))) (log (sqrt y))))
0.3b	(+ (log (sqrt (sqrt y))) (log (sqrt y)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

53×	`log-pow`
43×	`pow1`
34×	`sqrt-pow1`
27×	`*-un-lft-identity`
22×	`pow1/2` `associate-r` `sqrt-prod`
21×	`add-sqr-sqrt`
16×	`distribute-rgt-out`
15×	`add-cube-cbrt` `log-prod`
12×	`distribute-lft-out`
11×	`associate-l`
9×	`associate-+l+`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+`
4×	`distribute-lft1-in` `add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `sum-log`

Counts

4 → 122

Calls

4 calls:

1.0ms	(sqrt (sqrt y))
5.0ms	(* (log (sqrt (sqrt y))) x)
31.0ms	(* x (+ (log (sqrt (sqrt y))) (log (sqrt y))))
10.0ms	(+ (log (sqrt (sqrt y))) (log (sqrt y)))

series703.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt (sqrt y))
181.0ms	(* (log (sqrt (sqrt y))) x)
228.0ms	(* x (+ (log (sqrt (sqrt y))) (log (sqrt y))))
160.0ms	(+ (log (sqrt (sqrt y))) (log (sqrt y)))

simplify664.0ms

Counts

134 → 134

Iterations

Useful iterations: done (657.0ms)

Iter	Nodes	Cost
0	230	1390
1	589	1255
2	1669	1107
done	5000	1018

prune465.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	24
1	22	24
done	22	24

end0.0ms

sample2.0s

Algorithm

intervals

Results

849.0ms	24117×	body	80	nan
349.0ms	8021×	body	80	valid
0.0ms	2×	body	640	valid